Some (3+1) dimensional vortex solutions of the CPN model

Abstract

We present a class of solutions of the CPN model in (3+1) dimensions. We suggest that they represent vortex-like configurations. We also discuss some of their properties. We show that some configurations of vortices have a divergent energy per unit length while for the others such an energy has a minimum for a very special orientation of vortices. We also discuss the Noether charge densities of these vortices.

arXiv comment14 pages, 12 figures (pdf)

References in corpus (2)

• Exact vortex solutions in an extended Skyrme-Faddeev model
• Exact vortex solutions in a CP^N Skyrme-Faddeev type model

Cited by in corpus (6)

• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Compact Q-balls and Q-shells in the CPN type models
• Vortices in the extended Skyrme-Faddeev model
• BPS Sphalerons in the $F_2$ Non-Linear Sigma Model
• Some properties of (3+1) dimensional vortex solutions in the extended CP^N Skyrme-Faddeev model
• Properties of some (3+1) dimensional vortex solutions of the CP^N model